Proportional-Integral-Derivative and Proportional-Integral regulators, or PIDs and PIs, are, as well-known, the most popular industrial feedback loops (see, e.g., [1]}, [2]}, [3]}, [4]}, [5]}, [6]}). They ought therefore to be termed
universal. Their serious shortcomings partly explain nevertheless the important developments of “modern” model-based control theory during the second half of the twentieth and the beginning of the twenty first centuries. In spite of beautiful achievements, PIs and PIDs still largely prevail in engineering. This paper aims to suggest a new universal feedback loop. It is derived from Model-Free Control, or MFC, in the sense of [7]}, i.e., a control setting with two purposes:
